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Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits

Produktform: Buch / Einband - flex.(Paperback)

At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique. weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-3-031-79894-8 / 978-3031798948 / 9783031798948

Verlag: Springer International Publishing

Erscheinungsdatum: 03.07.2018

Seiten: 109

Auflage: 1

Autor(en): Alexis De Vos, Stijn De Baerdemacker, Yvan Van Rentergem

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